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Snezhnost [94]
2 years ago
15

Can some one please help me

Mathematics
1 answer:
Inessa05 [86]2 years ago
7 0

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

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Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc
In-s [12.5K]

Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

\implies L = \sqrt{y^2 + x^2},

Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})

=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0

-6x + y\frac{dy}{dt}=0

y\frac{dy}{dt}=6x

\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Which is the required notation.

8 0
3 years ago
0.23 divided by 5.05 explain with steps
Elden [556K]

Answer:

Step-by-step explanation:

\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100

\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505

\mathrm{Subtract}\:0\:\mathrm{from}\:23

3 0
2 years ago
HELP ME!!!! ASAP!!!!! Thank you so much!!!!
likoan [24]
3/2x + 1/5 >= -1
3/2x >= - 6/5
x >= -12/15
x >= -4/5

-1/2x - 7/3 >= 5

-1/2x >= 22/3
x <= -44/3

Its D
5 0
3 years ago
The swimming pool at spring valley high is a rectangle with a width of 65 meters and a length of 30 meters. Around the perimeter
pentagon [3]

65+w*30+w i think is the answer


4 0
2 years ago
Can you help me with 4,8,and 6
aksik [14]

Answer:

4, 8, 6

Step-by-step explanation:

4 is cost, 6 is acid rain, 8 is, recycling

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